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Finding the Fourth Proportional to 1,581.62, 2,361.92 and 1,564.44

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Solution

The fourth proportional to 1,581.62, 2,361.92 and 1,564.44 is: 2,336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.62 : 2,361.92 = 1,564.44 : x
  2. Step 2: Convert to fraction form
    1,581.62/2,361.92 = 1,564.44/x
  3. Step 3: Cross multiply
    1,581.62x = 2,361.92 × 1,564.44
  4. Step 4: Simplify right side
    1,581.62x = 3,695,074.30
  5. Step 5: Solve for x
    x = 3,695,074.30/1,581.62
  6. Step 6: Final answer
    x = 2,336.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.